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Anuta_ua [19.1K]
3 years ago
9

20 POINTS‼️Jeremy can row 3/8 of a mile in 1/4 of an hour. What is the unit rate that describes the miles per hour?

Mathematics
1 answer:
Anastaziya [24]3 years ago
3 0

Answer:

A 1 1/2 miles per hour

Step-by-step explanation:

Take the amount of miles he can row in 1/4 of an hour (3/8) and multiply it by 4, since it will tell you how many miles he can row in one hour. You get 12/8 miles per hour, which simplifies to 1 1/2 miles per hour

Hopefully this helps - let me know if you have any questions!

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Apply Newton’s method to estimate the solution of x3 − x − 1 = 0 by taking x1 = 1 and finding the least n such that xn and xn +
ss7ja [257]

Solution :

Given

$f(x)=x^3-x-1, x_1=1$

$f'(x)=3x^2-1$

Let the initial approximation is $x_1 =1$

So by Newton's method, we get

$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)},n=1,2,...$

$x_2=x_1-\frac{f(x_1)}{f'(x_1)}=1-\frac{1^3-1-1}{3(1)^2-1}=1.5$

$x_3=1.5-\frac{(1.5)^3-1.5-1}{3(1.5)^2-1}=1.34782608$

$x_4=1.34782608-\frac{(1.34782608)^3-1.34782608-1}{3(1.34782608)^2-1}=1.32520039$

$x_5=1.32520039-\frac{(1.32520039)^3-1.32520039-1}{3(1.32520039)^2-1}=1.32471817$

$x_6=1.32471817-\frac{(1.32471817)^3-1.32471817-1}{3(1.32471817)^2-1}=1.32471795$

$x_5 \approx x_6$ are identical up to eight decimal places.

The approximate real root is x ≈ 1.32471795

∴ x = 1.32471795

4 0
3 years ago
IM GIVING BRAINLIEST!!PLEASE HELP!!I PROMISE!!
Lilit [14]

Answer:

i think it's b sorry if it's wrong

Step-by-step explanation:

3 0
3 years ago
A rug is shaped like a rectangle whose perimeter is 276276 ftft. the length is 5 times as long as5 times as long as the width. f
ArbitrLikvidat [17]
Width = w

Length = 5w

Given,

Perimeter = 276 ft

5w * w = 276

w² = 55.2

--- w = 7.429670248402684 ≈ 7.43 ft

--- l = 5w = 5*7.43 = <span>37.14835124201342 </span>≈ 37.15 ft


4 0
3 years ago
The art teacher has 30 boxes of crayons with 16 cans in each box she gives the students 10 of the boxes to use explain how to fi
Mamont248 [21]
I'm going to assume you meant crayon instead of can:

First step is to find how many boxes she/he has left.

30 - 10 = 20 

So the teacher has 20 boxes left;

Now, knowing that each box has 16 crayons, then we simply multiply the 20 by 16 to find the total number of crayons left over:

20 x 16 = 320 

So the art teacher has 320 crayons left over.

Hope this helps!

3 0
3 years ago
adam wants to compare the fractions 3/12,1/6, and 1/3.he wants to order them from least to greatest and rewrite them so they all
Digiron [165]
3/12 ; 1/6 ; 1/3

Adam must first get the least common multiple of each denominator.

12 : 12, 24, 36
  6 :  6, 12, 18
  3 :  3, 6, 9, 12

12 is the least common denominator. 

We, then, multiply each denominator by a number that will produce 12.

12 x 1 = 12
6 x 2 = 12
3 x 4 = 12

Each number multiplied to the denominator must be the number used to multiply each numerator.

3/12 * 1/1 = 3/12
1/6 * 2/2 =   2/12
1/3 * 4/4 =   4/12

Since they now share a common denominator, the numerator will become the basis of the fraction's value. The greater the numerator, the greater the fraction's value.

Fractions in order from least to greatest = 2/12 ; 3/12 ; 4/12

Substitute each fraction with its original fraction:
2/12 ⇒ 1/6   : least

3/12 ⇒ 3/12 : middle
4/12 ⇒ 1/3   : greatest
7 0
3 years ago
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